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(Solved): need help with full work shown ans clear 4. Using the following conversion factors, convert \( ...
need help with full work shown ans clear
4. Using the following conversion factors, convert \( 25 \mathrm{~g} / \mathrm{mL} \) to \( \mathrm{kg} / \mathrm{dm}^{3} \) Show dimensional analysis steps. \[ \begin{array}{l} 1 \mathrm{~cm}^{3}=1 \mathrm{~mL} \\ 1 \mathrm{dm}^{3}=1 \mathrm{~L} \end{array} \] 5. Dextrose solution is made of dextrose dissolved in water. The density of a dextrose solution is \( 3 \mathrm{~g} / \mathrm{mL} \). Which of the following conversion factors correctly represents the density of the solution? Hint: Think about what density of a substance means. A) \( 3 \mathrm{~g} \) of dextrose \( =1 \mathrm{~mL} \) of solution B) \( 3 \mathrm{~g} \) of solution \( =1 \mathrm{~mL} \) solution C) \( 3 \mathrm{~g} \) dextrose \( =3 \mathrm{~mL} \) dextrose D) \( 3 \mathrm{~g} \) of solution \( =1 \mathrm{~mL} \) dextrose
1. Which of the following dimensional analysis steps have the conversion factors written correctly for converting \( 20 \mathrm{~nm} \) to \( \mathrm{m} \) ? Answer: \( A \) and \( C \) A) \( 20 \mathrm{~nm} \times \frac{1 \mathrm{~m}}{10^{9} \mathrm{~nm}} \) (C) \( 20 \mathrm{~nm} \times \frac{10^{9} \mathrm{~m}}{1 \mathrm{~nm}} \) B) \( 20 \mathrm{~nm} \times \frac{1 \mathrm{~m}}{10^{-9} \mathrm{~nm}} \) p) \( 20 \mathrm{~nm} \times \frac{10^{-9} \mathrm{~m}}{1 \mathrm{~nm}} \) 2. (a) What is the one piece of information needed to convert mass of a substance to it' volume and vice versa? (b) What is the mass in grams of \( 250 \mathrm{~L} \) of water? Show work using dimensional analysis. 3. A block of metal was immersed in a graduated cylinder containing water up to the \( 100 \mathrm{~mL} \) mark. After immersing the block, the water level increased to the \( 120 \mathrm{~mL} \) mark. (a) What is the volume of the block? \( \mathrm{mL} \) (b) What is the density of the block? \( \mathrm{g} / \mathrm{mL} \) Show work